Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what is the probability that X lies within one standard deviation of the mean? a) 0.4722
b) 0.9005
c) 0.6827
d) 0.9545

c) 0.6827

Step-by-step explanation:

We have to find P(-1<Z<1) by using z-table

P(-1<Z<1) = P(Z<1) – P(Z<-1)

P(-1<Z<1) = 0.841345 - 0.158655

P(-1<Z<1) = 0.682689

P(-1<Z<1) = 0.6827

Two slopes of triangle ABC are opposite reciprocals

Step-by-step explanation:

A right triangle is also called a right- angled triangle. It is called or referred to as a right angles triangle because one of its angles is 90°.

A right triangle (right - angled triangle) has two of its slopes as opposite reciprocals. A right triangle has 3 sides

a) The hypotenuse which is the longest side

b) The opposite side

c) The adjacent side.